Vector-Valued Jack Polynomials from Scratch

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2011
• Hauptverfasser: Dunkl, C.F., Luque, J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2011
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146782
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Vector-Valued Jack Polynomials from Scratch / C.F. Dunkl, J. Luque // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 18 назв. — англ.

Vector-valued Jack polynomials associated to the symmetric group SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik-Dunkl operators with some additional properties concerning the leading monomial. These polynomials were in...